Computation of displacements for nonlinear elastic beam models using monotone iterations (Q1094934)

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scientific article; zbMATH DE number 4026963
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Computation of displacements for nonlinear elastic beam models using monotone iterations
scientific article; zbMATH DE number 4026963

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    Computation of displacements for nonlinear elastic beam models using monotone iterations (English)
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    1988
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    We study displacement of a uniform elastic beam subject to various physically important boundary conditions. Using monotone methods, we discuss stability and instability of solutions. We present computations, which suggest efficiency of monotone methods for fourth order boundary value problems.
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    maximum principles
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    existence
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    approximation
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    inverse-positive problems
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    displacement
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    uniform elastic beam
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    monotone methods
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    stability
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    instability of solutions
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    fourth order boundary value problems
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